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Simplifying -1z + 45 = -2z + 51 Reorder the terms: 45 + -1z = -2z + 51 Reorder the terms: 45 + -1z = 51 + -2z Solving 45 + -1z = 51 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 45 + -1z + 2z = 51 + -2z + 2z Combine like terms: -1z + 2z = 1z 45 + 1z = 51 + -2z + 2z Combine like terms: -2z + 2z = 0 45 + 1z = 51 + 0 45 + 1z = 51 Add '-45' to each side of the equation. 45 + -45 + 1z = 51 + -45 Combine like terms: 45 + -45 = 0 0 + 1z = 51 + -45 1z = 51 + -45 Combine like terms: 51 + -45 = 6 1z = 6 Divide each side by '1'. z = 6 Simplifying z = 6
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